| 11. | If a symmetric matrix is rotated by 90? it becomes a persymmetric matrix.
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| 12. | A standard result for a symmetric matrix such as "'X "'
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| 13. | Where is a real, symmetric matrix.
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| 14. | Thus the determinant of a real skew-symmetric matrix is always non-negative.
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| 15. | A similar situation holds for applying a Cayley transform to the skew-symmetric matrix.
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| 16. | T is a skew-symmetric matrix.
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| 17. | Suppose we have a large symmetric matrix which can be partitioned into smaller blocks matricies.
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| 18. | The boost matrix is a symmetric matrix.
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| 19. | But no non-zero symmetric matrix can be nilpotent, since it is diagonalisable.
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| 20. | A symmetric matrix is positive-definite if and only if all its eigenvalues are positive.
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